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Finding the Fourth Proportional to 12,378.52, 18,578.58 and 7,177.24

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Solution

The fourth proportional to 12,378.52, 18,578.58 and 7,177.24 is: 10,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.52 : 18,578.58 = 7,177.24 : x
  2. Step 2: Convert to fraction form
    12,378.52/18,578.58 = 7,177.24/x
  3. Step 3: Cross multiply
    12,378.52x = 18,578.58 × 7,177.24
  4. Step 4: Simplify right side
    12,378.52x = 133,342,927.52
  5. Step 5: Solve for x
    x = 133,342,927.52/12,378.52
  6. Step 6: Final answer
    x = 10,772.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.